On the level raising of cuspidal eigenforms modulo prime powers [PDF]
arXiv, 2018 In this article we prove level raising for cuspidal eigenforms modulo prime powers (for odd primes) of weight $k\geq 2$ and arbitrary character, extending the result in weight two established by the work of Tsaknias and Wiese and generalizing (partially) Diamond-Ribet's celebrated level raising theorems.
arxiv
Affine Hecke algebras and raising operators for Macdonald polynomials [PDF]
arXiv, 1996 We introduce certain raising and lowering operators for Macdonald polynomials (of type $A_{n-1}$) by means of Dunkl operators. The raising operators we discuss are a natural $q$-analogue of raising operators for Jack polynomials introduced by L.Lapointe and L.Vinet. As an application we prove the integrality of double Kostka coefficients. Double analog
arxiv
Dimension-raising theorems for cohomological and extension dimensions [PDF]
arXiv, 2006 We establish cohomological and extension dimension versions of the Hurewicz dimension-raising ...
arxiv
Lowering and raising operators for the free Meixner class of orthogonal polynomials [PDF]
arXiv, 2008 We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.
arxiv
$q$-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients [PDF]
arXiv, 1996 We study certain $q$-difference raising operators for Macdonald polynomials (of type $A_{n-1}$) which are originated from the $q$-difference-reflection operators introduced in our previous paper. These operators can be regarded as a $q$-difference version of the raising operators for Jack polynomials introduced by L.Lapointe and L.Vinet.
arxiv
The lexical and grammatical sources of neg-raising inferences [PDF]
arXiv, 2019 We investigate neg(ation)-raising inferences, wherein negation on a predicate can be interpreted as though in that predicate's subordinate clause. To do this, we collect a large-scale dataset of neg-raising judgments for effectively all English clause-embedding verbs and develop a model to jointly induce the semantic types of verbs and their ...
arxiv
Identification and Remediation of Environmental Exposures in Patients With Interstitial Lung Disease: Evidence Review and Practical Considerations. [PDF]
Chest, 2021 Copeland CR, Collins BF, Salisbury ML.
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On Cantor's singular moments [PDF]
arXiv, 1999 In problem 10621 of the American Mathematical Monthly the question was raised whether it is possible to explicitly compute Cantor's singular moment of order -1. This is answered in the affirmative.
arxiv
Subthreshold $ππ$ interference in three-particle final states [PDF]
arXiv, 2005 This paper has been withdrawn because the issues raised have been resolved by Cabibbo and Isidori, hep-ph/0502130.
arxiv
Raising the level of automorphic representations of $\mathrm{GL}_{2n}$ of unitary type [PDF]
arXiv, 2019 We use the endoscopic classification of automorphic representations of even-dimensional unitary groups to construct level-raising congruences.
arxiv